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Finding the Fourth Proportional to 284.23, 425.46 and 242.71

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Solution

The fourth proportional to 284.23, 425.46 and 242.71 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.23 : 425.46 = 242.71 : x
  2. Step 2: Convert to fraction form
    284.23/425.46 = 242.71/x
  3. Step 3: Cross multiply
    284.23x = 425.46 × 242.71
  4. Step 4: Simplify right side
    284.23x = 103,265.60
  5. Step 5: Solve for x
    x = 103,265.60/284.23
  6. Step 6: Final answer
    x = 363.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.